JOURNAL ARTICLE

Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with Maxwell's law.

  • Published In: Reviews in Mathematical Physics, 2024, v. 36, n. 8. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Dong, Jianwei; Bo, Lijuan 3 of 3

Abstract

In this paper, we present some analytical solutions to the one-dimensional compressible isothermal Navier–Stokes equations with Maxwell's law in the real line. First, we construct two analytical solutions by using a self-similar ansatz, one blows up in finite time and the other exists globally-in-time. Second, we construct two global analytical solutions with different large initial data by using a non-self-similar ansatz. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Reviews in Mathematical Physics. 2024/09, Vol. 36, Issue 8, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0129-055X
  • DOI:10.1142/S0129055X24500168
  • Accession Number:179479988
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